US Trends

how to calculate increase percentage

To calculate an increase percentage, you compare how much a value has gone up relative to its original value, then express that change as a percent.

How to Calculate Increase Percentage

The core formula

When something increases from an original value to a new value , use this:

Percentage increase=New value−Original valueOriginal value×100\text{Percentage increase}=\frac{\text{New value}-\text{Original value}}{\text{Original value}}\times 100Percentage increase=Original valueNew value−Original value​×100

  • The difference New−Original\text{New}-\text{Original}New−Original is the increase.
  • Dividing by the original tells you how big that increase is relative to where you started.
  • Multiplying by 100 turns the decimal into a percentage.

If the result is negative , it’s actually a percentage decrease.

Step‑by‑step (with a simple story)

Imagine you had a small online shop:

  • Last month your revenue was 50,000.
  • This month it’s 65,000.

You want to know: “By what percentage did my revenue increase?”

  1. Find the increase
    • Increase = New − Original
    • Increase = 65,000 − 50,000 = 15,000
  1. Compare that increase to the original
    • 15,000 ÷ 50,000 = 0.3
  1. Convert to a percentage
    • 0.3 × 100 = 30%

So your revenue increased by 30%. You can use the same logic for salary, prices, subscribers, game scores, or anything that goes from one value to a higher one.

Quick mini‑guide: different situations

1. You know old and new values

Use this when you have “before” and “after”.

Percentage increase=New−OriginalOriginal×100\text{Percentage increase}=\frac{\text{New}-\text{Original}}{\text{Original}}\times 100Percentage increase=OriginalNew−Original​×100

Example:

  • A stock price goes from 30 to 34.5.
  • Increase = 34.5 − 30 = 4.5
  • 4.5 ÷ 30 = 0.15
  • 0.15 × 100 = 15% → 15% increase

2. You know the original value and the percentage, want the new value

Sometimes you know “add 10%” or “increase by 25%” and want the final number.

Steps:

  1. Convert percentage to decimal (10% → 0.10, 25% → 0.25).
  1. Multiply original value by that decimal.
  2. Add the result to the original.

Example (10% increase on 200):

  • 10% as decimal = 0.10
  • Increase = 200 × 0.10 = 20
  • New value = 200 + 20 = 220

Alternative shortcut: multiply by 1+percentage as decimal1+\text{percentage as decimal}1+percentage as decimal.

  • New value = 200 × 1.10 = 220.

HTML table: common increase calculations

html

<table>
  <thead>
    <tr>
      <th>Scenario</th>
      <th>Given</th>
      <th>What you want</th>
      <th>Formula</th>
      <th>Example</th>
    </tr>
  </thead>
  <tbody>
    <tr>
      <td>Find percentage increase between two numbers</td>
      <td>Original value, New value</td>
      <td>Percentage increase</td>
      <td>((New − Original) ÷ Original) × 100[web:1][web:5][web:9]</td>
      <td>From 50,000 to 65,000 → 30% increase[web:5]</td>
    </tr>
    <tr>
      <td>Increase a number by a known percentage</td>
      <td>Original value, Percentage</td>
      <td>New value</td>
      <td>Original × (1 + Percentage as decimal)[web:3][web:4]</td>
      <td>200 increased by 10% → 200 × 1.10 = 220[web:3][web:4]</td>
    </tr>
    <tr>
      <td>Find amount of increase from a percentage</td>
      <td>Original value, Percentage increase</td>
      <td>Increase only</td>
      <td>Original × Percentage as decimal[web:3][web:4]</td>
      <td>80 with 25% increase → 80 × 0.25 = 20 increase[web:3][web:4]</td>
    </tr>
    <tr>
      <td>Check if change is increase or decrease</td>
      <td>Original value, New value</td>
      <td>Sign of change</td>
      <td>If result &gt; 0 → increase, if &lt; 0 → decrease[web:1][web:5][web:7]</td>
      <td>Result −12% → decrease, not an increase[web:5][web:7]</td>
    </tr>
  </tbody>
</table>

Quick checks and common mistakes

To keep your percentage increases accurate , watch out for these:

  • Always divide by the original number, not the new one.
  • Don’t forget to multiply by 100 at the end, or you’ll leave the answer as a decimal.
  • If you get a negative percentage, that’s a decrease, even if you were “trying” to calculate an increase.
  • Double‑check you didn’t swap original and new values.

TL;DR (super short)

  • Formula:

Percentage increase=New−OriginalOriginal×100\text{Percentage increase}=\frac{\text{New}-\text{Original}}{\text{Original}}\times 100Percentage increase=OriginalNew−Original​×100

  • Works for salary, prices, business revenue, scores, and more.

If you tell me your specific numbers (like “from 120 to 150” or “increase 450 by 18%”), I can walk you through the exact calculation step by step.